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Finding the Third Proportional to 3,295,346,024 and 4,973,663,928

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Solution

The third proportional to 3,295,346,024 and 4,973,663,928 is: 7,506,748,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295,346,024 : 4,973,663,928 = 4,973,663,928 : x
  2. Step 2: Convert to fraction form
    3,295,346,024/4,973,663,928 = 4,973,663,928/x
  3. Step 3: Cross multiply
    3,295,346,024x = 4,973,663,928 × 4,973,663,928
  4. Step 4: Simplify right side
    3,295,346,024x = 24,737,332,868,688,388,096
  5. Step 5: Solve for x
    x = 24,737,332,868,688,388,096/3,295,346,024
  6. Step 6: Final answer
    x = 7,506,748,210.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.